Highest Common Factor of 430, 101, 162 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 430, 101, 162 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 430, 101, 162 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 430, 101, 162 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 430, 101, 162 is 1.

HCF(430, 101, 162) = 1

HCF of 430, 101, 162 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 430, 101, 162 is 1.

Highest Common Factor of 430,101,162 using Euclid's algorithm

Highest Common Factor of 430,101,162 is 1

Step 1: Since 430 > 101, we apply the division lemma to 430 and 101, to get

430 = 101 x 4 + 26

Step 2: Since the reminder 101 ≠ 0, we apply division lemma to 26 and 101, to get

101 = 26 x 3 + 23

Step 3: We consider the new divisor 26 and the new remainder 23, and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 430 and 101 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(430,101) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 162 > 1, we apply the division lemma to 162 and 1, to get

162 = 1 x 162 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 162 is 1

Notice that 1 = HCF(162,1) .

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Frequently Asked Questions on HCF of 430, 101, 162 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 430, 101, 162?

Answer: HCF of 430, 101, 162 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 430, 101, 162 using Euclid's Algorithm?

Answer: For arbitrary numbers 430, 101, 162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.